Question
The value of $0.\overline{23}+0.\overline{22}$ is:

Answer

  1. $0.\overline{45}$
    Solution:
    Let $\text{x}=0.\overline{23}=0.232323...(1)$
    Now, $\text{y}=0.\overline{22}=0.22222...(2)$
    Adding equation (1) and (2), we get
    $\text{x}+\text{y}=0.454545=0.\overline{45}$
    $\Rightarrow0.\overline{23}+0.\overline{22}=0.\overline{45}$
    Hence, option (a) is correct.

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